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Answer:
[tex]x=3[/tex]
[tex]y=-4[/tex]
Step-by-step explanation:
[tex]4x+5y=-8[/tex] ----------- (1)
[tex]-4x-4y=4[/tex] -----------(2)
Adding equation (1) and (2)
[tex]4x+5y-4x-4y=-8+4[/tex]
[tex]y=-4[/tex]
Substitute y=-4 in equation (1) or (2)
[tex]4x+5(-4)=-8[/tex]
[tex]4x-20=-8\\4x=-8+20\\4x=12\\x=3[/tex]